Base | Representation |
---|---|
bin | 1010010101100… |
… | …11110100000000 |
3 | 20001011211010101 |
4 | 11022303310000 |
5 | 134200012434 |
6 | 12334412144 |
7 | 2102051146 |
oct | 512636400 |
9 | 201154111 |
10 | 86719744 |
11 | 44a50911 |
12 | 25061054 |
13 | 14c73b77 |
14 | b735596 |
15 | 792eb14 |
hex | 52b3d00 |
86719744 has 36 divisors (see below), whose sum is σ = 179085060. Its totient is φ = 41861120.
The previous prime is 86719733. The next prime is 86719751. The reversal of 86719744 is 44791768.
It can be written as a sum of positive squares in 2 ways, for example, as 44729344 + 41990400 = 6688^2 + 6480^2 .
It is a junction number, because it is equal to n+sod(n) for n = 86719694 and 86719703.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1584 + ... + 13264.
It is an arithmetic number, because the mean of its divisors is an integer number (4974585).
Almost surely, 286719744 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 86719744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89542530).
86719744 is an abundant number, since it is smaller than the sum of its proper divisors (92365316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86719744 is a wasteful number, since it uses less digits than its factorization.
86719744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11726 (or 11712 counting only the distinct ones).
The product of its digits is 338688, while the sum is 46.
The square root of 86719744 is about 9312.3436362712. The cubic root of 86719744 is about 442.6284543070.
The spelling of 86719744 in words is "eighty-six million, seven hundred nineteen thousand, seven hundred forty-four".
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